The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces
The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Ric...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2016 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2016
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147432 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862598240483934208 |
|---|---|
| author | Chiba, H. |
| author_facet | Chiba, H. |
| citation_txt | The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Riccati solutions and Boutroux's coordinates are systematically studied in a unified way with the aid of the orbifold structure of CP³(p,q,r,s) and dynamical systems theory.
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| first_indexed | 2025-11-27T18:46:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147432 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T18:46:20Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chiba, H. 2019-02-14T18:32:39Z 2019-02-14T18:32:39Z 2016 The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces / H. Chiba // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 9 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 34M35; 34M45; 34M55 DOI:10.3842/SIGMA.2016.019 https://nasplib.isofts.kiev.ua/handle/123456789/147432 The third, fifth and sixth Painlevé equations are studied by means of the weighted projective spaces CP³(p,q,r,s) with suitable weights (p,q,r,s) determined by the Newton polyhedrons of the equations. Singular normal forms of the equations, symplectic atlases of the spaces of initial conditions, Riccati solutions and Boutroux's coordinates are systematically studied in a unified way with the aid of the orbifold structure of CP³(p,q,r,s) and dynamical systems theory. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces Article published earlier |
| spellingShingle | The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces Chiba, H. |
| title | The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces |
| title_full | The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces |
| title_fullStr | The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces |
| title_full_unstemmed | The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces |
| title_short | The Third, Fifth and Sixth Painlevé Equations on Weighted Projective Spaces |
| title_sort | third, fifth and sixth painlevé equations on weighted projective spaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147432 |
| work_keys_str_mv | AT chibah thethirdfifthandsixthpainleveequationsonweightedprojectivespaces AT chibah thirdfifthandsixthpainleveequationsonweightedprojectivespaces |